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Finding the Fourth Proportional to 920.16, 1,381.20 and 594.72

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Solution

The fourth proportional to 920.16, 1,381.20 and 594.72 is: 892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.16 : 1,381.20 = 594.72 : x
  2. Step 2: Convert to fraction form
    920.16/1,381.20 = 594.72/x
  3. Step 3: Cross multiply
    920.16x = 1,381.20 × 594.72
  4. Step 4: Simplify right side
    920.16x = 821,427.26
  5. Step 5: Solve for x
    x = 821,427.26/920.16
  6. Step 6: Final answer
    x = 892.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.